A change in current produces change in the electromagnetic field, which induces a voltage across the coil according to Faraday's law of electromagnetic induction. Which implies that the voltage across the inductor is directly proportional to the time rate of change of current. Find the energy stored by the inductor in terms of current and inductance of the inductor. Given the current, i(t) = 2t^3 A, through a 5 H inductor. Find the energy stored in the inductor at t = 5 s, assume initial conditions to be zero.

Q: Two coils, held in fixed positions, have a mutual inductance of 100 μH. What is the peak emf in one…

A: Inductors are passive electric devices capable of storing energy in them as magnetic fields. When…

Q: A 9.5-V battery, a 5.07-Ω resistor, and a 9.8-H inductor are connected in series. After the current…

A: Dear student,                    According to the guidelines I am allowed to answer only three…

Q: Problem 8: A rectangular coil with N = 1120 turns is moving to the right with a speed v = 7.4 m/s…

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Q: After being closed for a long time, the switch S in the circuit shown in the figure below is thrown…

A: a)Current flowing through the inductor just before the switch is opened:I = E/Ra = 24/(4400)=…

Q: A circular coil of radius 0.130 m contains a single turn and is located in a constant magnetic field…

A: Step 1:Step 2: ( If you have any questions related to this problem please feel free to ask me).

Q: A 75-turn coil has a diameter of 10 cm. The coil is placed in a spatially uniform magnetic field of…

A: We know that induced emf  ε=-NAdBdt.........(1)

Q: The current through a N = 175-turn coil with cross-sectional area, A = 0.0424 m², is decreasing at a…

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Q: Two coils are placed close to each other. One of the coils has a current passing through it given by…

A: Inductors store energy in magnetic fields. When another inductor is placed close to an inductor the…

Q: A physics student observes that the current in a coil of conducting wire goes from i, = 0.200 A to…

A: Given: Inductance L = 4mH or 0.004 H                               i1= 0.200 A…

Q: The magniotude of the emf induced in an inductor is 1.5V when the current in the inductor is…

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Q: A generator uses a coil that has 110 turns and a 0.31-T magnetic field. The frequency of this…

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Q: A 185‑turn circular coil of radius 2.97 cm and negligible resistance is immersed in a uniform…

A: Given that: ∆ B = 0.635 T r = 2.97 cm = 0.0297 m

Q: Consider the circuit shown below. The circuit contains an inductor, 10.0 mH, a 60.0 V battery…

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Q: A coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) =…

A: The expression for find induced emf in the coil is ε=-LdIdt

Q: Consider a coil of wire that has radius 3.00 cm and carries a sinusoidal current given by i(t) = I0…

A: Part-a Given: The radius of the coil r = 3 cm. The frequency of the sinusoidal wave f = 60 Hz. The…

Q: A coil with 150 turns has a magnetic flux of 50.0 nT m2 through each turn when the current is 2.00…

A: Since there are multiple sub parts posted, we will answer the first three sub parts. a) The…

Q: A 10.7-V battery, a 5.03- resistor, and a 10.8-H inductor are connected in series. After the current…

A: GIVENV = 10.7 Volts R = 5.03Ω L = 10.8 H

Q: A 24.0-V battery is connected in series with a resistor and an inductor, with R = 2.60 2 and L =…

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Q: A 10.7-V battery, a 4.92-2 resistor, and a 10.1-H inductor are connected in series. After the…

A: V = 10.7 Volts R = 4.92 ohm L = 10.1 H current = maximum

Q: When the current through an inductor is decreasing at a constant rate of 0.5A/s, the magnitude of…

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Q: A 24-V battery is connected in series with a resistor and an inductor, with R = 8.8 N and L = 2.0 H,…

A: Given, V = 24 V R = 8.8 ohms L = 2 H   The expression for current in Rl circuit is I=εR(1-e-tL)

Q: The average magnetic field inside a flat coil of area A with N turns around which a current i flows…

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Q: A 9.1-V battery, a 4.90-2 resistor, and a 10.5-H inductor are connected in series. After the current…

A: Recall when current has reached maximam value, the inductor offer zero resistance.

Q: Using these data, discuss this situation in your group and determine the emf of the battery, the…

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Q: The coil in an electromagnet has an inductance of 1.7 mH and carries a constant direct current of…

A: Given that, The inductance of a coil, L = 1.7 mH = 0.0017 H Initial value of current, Ii = 5.6 A…

Q: A circular coil of radius 0.130 m contains a single turn and is located in a constant magnetic field…

A: (a) The magnitude of the emf induced in the coil is EMF=N∆ΦB∆t=N∆BAcosθ∆t…

Q: What is the energy stored in 1 second in an inductor while carrying current i = 20 + 10 t where t is…

A: Given: EMF induced in the coil, ε=40 mVCurrent carrying in the coil, i=20+10t ATime, t = 1 sec

Q: At t = 0, a battery is connected to a series arrangement of a resistor and an inductor. If the…

A: Rate of energy dissipated by the resistor is equal to the rate of energy stored by the inductor…

Q: An electric current flows through a coil with an inductance of 15.3 mH. The graph shows the…

A: Given Inductance L = 15.3 mH = 15.3 × 10-3 H Time period of current T = 20 ms = 20 × 10-3 s Peak…

Q: A 10.0-V battery, a 5.00-Q resistor, and a 10.0-H inductor are connected in series. After the…

A: Inductors are passive devices that are capeable of storing energy in them as magnetic fields. When a…

Q: A 9.2-V battery, a 5.03- resistor, and a 10.3-H inductor are connected in series. After the current…

A: The voltage of the battery is V = 9.2 V  The resistance  R = 5.03 ohm  The inductor L = 10.3 H…

Q: (a) Draw a graph of the induced EMF versus time, numerically identifying the maximum and minimum…

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Q: The current through a coil as a function of time is represented by the equation I(t) = Ae sin(wt),…

A: Induced emf due to the varying current in the first coil…

Q: Two coils, held in fixed positions, have a mutual inductance of 225 µH. What is the peak emf in one…

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Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.